Samuel Hedemann

My research focuses on three main areas: quantum entanglement, quantum computation, and selected topics in theoretical physics and mathematics.

One area of my research that has shown particular success started with a paper I wrote as a grad student in 2013 implementing a numerical investigation of a new class of states I proposed called true-generalized X (TGX) states, which I hypothesized to have the special property of being related to the set of all quantum states by an entanglement-preserving unitary (EPU) transformation. Since then, this hypothesis has been proven for two qubits in two different ways; both implicitly and explicitly. This discovery is significant because it means that all quantum states of two qubits can be reduced to a simple compact set with the same entanglement properties as the set of all states, yet easier to produce and easier to work with mathematically. However, my hypothesis extends to all N-body quantum systems, not just two qubits. In 2022, I proved this hypothesis for qubit-qutrit systems, and my current work aims at proving it for the general N-body case.

Beyond theoretical quantum information, my work also focuses on real-world applications of these ideas, such as with the design of quantum-computational hardware, quantum communications devices, and novel methods of post-quantum computation. Understanding the fundamental physics behind quantum technology is crucial to unleashing its potential to enrich our lives and the health of our planet. Quantum computation offers the possibility of modeling difficult physics problems in realistic time frames, and this might allow for major technological advancements such as writing programs capable of discovering cancer-killing drugs or finding practical solutions to alleviating the world's climate crisis.

Dr. Hedemann is an inventor and researcher in quantum information and quantum computation, currently teaching as a Lecturer of Physics at Stevens Institute of Technology, before which he was a Visiting Assistant Professor of Physics at the New York Institute of Technology (NYIT). Prior to that, he completed the Postdoctoral Fellowship in Quantum Information Science at The Johns Hopkins University Applied Physics Laboratory (JHUAPL), and before that he taught as an Adjunct Professor of Physics at Hunter College (CUNY). He received his Ph.D. in Physics from Stevens Institute of Technology in 2014 as an Innovation and Entrepreneurship Doctoral Fellow, and was part of the Quantum Information and Quantum Optics group headed by Dr. Ting Yu. Before that, he earned his Bachelor of Science in Physics from University of Maryland Baltimore County (UMBC) in 2008.

Inventor's Award, Johns Hopkins University Applied Physics Laboratory, 2016

Quantum Information Science Postdoctoral Fellowship, Johns Hopkins University Applied Physics Laboratory, 2015-2016

Innovation and Entrepreneurship Doctoral Fellowship, Stevens Institute of Technology, 2009-2014

Invited Member, Sigma Pi Sigma National Physics Honor Society, 2008

Invited Member, Golden Key International Honour Society, 2001

Quantum Information Science Postdoctoral Fellowship, Johns Hopkins University Applied Physics Laboratory, 2015-2016

Innovation and Entrepreneurship Doctoral Fellowship, Stevens Institute of Technology, 2009-2014

2 Invention Disclosures for Quantum Computational and Quantum Communications Devices, Johns Hopkins University Applied Physics Laboratory, 2016

1 Invention Disclosure for a Quantum Computational Device, Stevens Institute of Technology, 2014

S. R. Hedemann, Entanglement Universality of TGX States in Qubit-Qutrit Systems, Quantum Inf. Process. 22 23 (2023), https://doi.org/10.1007/s11128-022-03747-8, http://arxiv.org/abs/2208.04745.

S. R. Hedemann, Multipartite Mixed Maximally Entangled States: Mixed States with Entanglement 1, Quantum Inf. Process. 21 133 (2022), https://doi.org/10.1007/s11128-022-03458-0, http://arxiv.org/abs/2109.11548.

S. R. Hedemann, Correlance and Discordance: Computable Measures of Nonlocal Correlation, Quantum Inf. Process. 19 189 (2020), https://rdcu.be/b4jnP, http://arxiv.org/abs/2001.03453.

S. R. Hedemann and B. D. Clader, Optomechanical Entanglement of Remote Microwave Cavities, J. Opt. Soc. Am. B 35 2509 (2018), https://doi.org/10.1364/JOSAB.35.002509, https://arxiv.org/abs/1804.09249.

S. R. Hedemann, X States of the Same Spectrum and Entanglement as All Two-Qubit States, Quantum Inf. Process. 17 293 (2018), https://rdcu.be/7cYN, http://arxiv.org/abs/1802.03038.

S. R. Hedemann, Partition Function in Nonrecursive Form and Related Results, preprint (2017), http://doi.org/10.5281/zenodo.1038438.

S. R. Hedemann, Explicit Inverse Confluent Vandermonde Matrices with Applications to Exponential Quantum Operators, preprint (2017), http://arxiv.org/abs/1709.05257}{arXiv:1709.05257.

S. R. Hedemann, Correction to the Traditional Ideal Rocket Thrust Equation, preprint (2017), http://doi.org/10.5281/zenodo.786253.

S. R. Hedemann, Candidates for Universal Measures of Multipartite Entanglement, Quantum Inf. Comp. 18 443 (2018), https://doi.org/10.26421/QIC18.5-6-3, http://arxiv.org/abs/1701.03782.

P. E. M. F. Mendonca, M. A. Marchiolli, S. R. Hedemann, Maximally Entangled Mixed States for Qubit-Qutrit Systems, Phys. Rev. A 95 022324 (2017), http://link.aps.org/doi/10.1103/PhysRevA.95.022324, http://arxiv.org/abs/1612.01214.

S. R. Hedemann, Ent: A Multipartite Entanglement Measure, and Parameterization of Entangled States, Quantum Inf. Comp. 18 389 (2018), https://doi.org/10.26421/QIC18.5-6-2, http://arxiv.org/abs/1611.03882.

S. R. Hedemann, Noise-Resistant Quantum Teleportation, Ansibles, and the No-Projector Theorem, preprint (2016), http://arxiv.org/abs/1605.09233.

S. R. Hedemann, Distinguishing Coherent States from Phase-Mixed Coherent States with Only a Variable Beam Splitter and Single-Photon Detector, In Principle, preprint (2015), http://arxiv.org/abs/1603.06274.

S. R. Hedemann, Hyperspherical Bloch Vectors with Applications to Entanglement and Quantum State Tomography, ProQuest UMI Diss. Pub. 3636036 (2014).

T. Ma, Y. Chen, S. R. Hedemann, T. Yu, Crossover Between Non-Markovian and Markovian Dynamics Induced by a Hierarchical Environment, Phys. Rev. A 90 042108 (2014), http://dx.doi.org/10.1103/PhysRevA.90.042108, http://arxiv.org/abs/1404.5280.

S. R. Hedemann, Random-Unitary Depolarization Ensures the Correctability of All Quantum Channels, preprint (2014), http://arxiv.org/abs/1402.4120.

S. R. Hedemann, Evidence that All States Are Unitarily Equivalent to X States of the Same Entanglement, preprint (2013), http://arxiv.org/abs/1310.7038.

X. Zhao, S. R. Hedemann, T. Yu, Protecting Entangled States via Environment-Assisted Error Correction, Coherence and Quantum Optics X (2013), https://drive.google.com/open?id=1KXa2eWvbL8JQMzLo3BkozlSggtRhkMxS.

X. Zhao, S. R. Hedemann, T. Yu, Restoration of a Quantum State in a Dephasing Channel via Environment-Assisted Error Correction, Phys. Rev. A 88 022321 (2013), http://arxiv.org/abs/1305.4627.

S. R. Hedemann, Hyperspherical Parameterization of Unitary Matrices, preprint (2013), http://arxiv.org/abs/1303.5904.

CS 517 / PEP 557 Quantum Information and Computation (Stevens)

PEP 111 Mechanics (Stevens)

PHYS 600 Quantum Computation Research Camp (Theta-Machine)

PHYS 600 Introduction to Quantum Computing (Independently)

PHYS 185 General Physics for Pre-Med II (NYIT)

PHYS 180 General Physics II (NYIT)

PHYS 115 Humanity and the Physical Universe (NYIT)

PHYS 225 Introduction to Modern Physics (NYIT)

PHYS 175 General Physics for Pre-Med I (NYIT)

PHYS 170 General Physics I (NYIT)

PHYS 170L General Physics I Laboratory (NYIT)

PHYS 120 Electromagnetism (Hunter College)